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Simplifying (2i + 2j) = m(3i + 4j) Remove parenthesis around (2i + 2j) 2i + 2j = m(3i + 4j) 2i + 2j = (3i * m + 4j * m) 2i + 2j = (3im + 4jm) Solving 2i + 2j = 3im + 4jm Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3im' to each side of the equation. 2i + -3im + 2j = 3im + -3im + 4jm Combine like terms: 3im + -3im = 0 2i + -3im + 2j = 0 + 4jm 2i + -3im + 2j = 4jm Add '-2j' to each side of the equation. 2i + -3im + 2j + -2j = -2j + 4jm Combine like terms: 2j + -2j = 0 2i + -3im + 0 = -2j + 4jm 2i + -3im = -2j + 4jm Reorder the terms: 2i + -3im + 2j + -4jm = -2j + 2j + 4jm + -4jm Combine like terms: -2j + 2j = 0 2i + -3im + 2j + -4jm = 0 + 4jm + -4jm 2i + -3im + 2j + -4jm = 4jm + -4jm Combine like terms: 4jm + -4jm = 0 2i + -3im + 2j + -4jm = 0 The solution to this equation could not be determined.
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